Question

If `veca` = 5 and –2 ≤ λ ≤ 1, then the sum of greatest and the smallest value of `|λveca|` is ______.

Options

• –5

• 5

• 10

• 15

Answer 1

If `veca` = 5 and –2 ≤ λ ≤ 1, then the sum of greatest and the smallest value of `|λveca|` is 10.

Explanation:

–2 ≤ λ ≤ 1

`|λveca|=|λ||veca|`

= 5|λ|

Greatest value = 5(2) = 10

Smallest value = 5 (0) = 0

= 10 + 0

= 10